A rectangular park has an area of 1.36×10^8 ft^2 . The length of the park is 1.6×10^4 ft. Divide the area by the length to find the width of the park.(1 point)
Responses
8.5×102 ft.
8.5 times 10 squared ft.
8.5×103 ft.
8.5 times 10 cubed ft.
8.5×105 ft.
8.5 times 10 superscript 5 baseline ft.
8.5×10^4 ft.
To find the width of the park, we need to divide the area by the length.
Area = 1.36×10^8 ft^2
Length = 1.6×10^4 ft
Width = Area / Length
Width = (1.36×10^8 ft^2) / (1.6×10^4 ft)
Simplifying this expression, we divide 1.36 by 1.6 and subtract the exponents:
Width = 8.5×10^4 ft
Therefore, the width of the park is 8.5×10^4 ft.
Divide 3.3×10^4 by 5.5×10^7
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To divide 3.3×10^4 by 5.5×10^7, we can divide the numbers in decimal form and subtract the exponents:
Dividing 3.3 by 5.5 gives us 0.6.
Subtracting the exponents of 10^4 and 10^7, we get 10^(-3):
So, the result is 0.6 × 10^(-3) or 6 × 10^(-4) in scientific notation.
Therefore, 3.3×10^4 divided by 5.5×10^7 is 6×10^(-4).
A city lunch program for seniors received a grant of 1.925×10^6 dollars. Divide that figure by the cost of $2.75 per lunch to find out how many senior lunches the grant can provide. Write the answer in scientific notation.
To find out how many senior lunches the grant can provide, we need to divide the grant amount by the cost per lunch.
Grant amount = 1.925×10^6 dollars
Cost per lunch = $2.75
Number of lunches = Grant amount / Cost per lunch
Number of lunches = (1.925×10^6 dollars) / ($2.75)
To divide the numbers in decimal form, we divide 1.925 by 2.75:
Number of lunches = 0.7
Now, let's find the exponent of 10. Since there was a division, we need to subtract the exponents:
Exponent of 10 = 10^6 / 10^2 = 10^4
So, the result is 0.7×10^4 or 7×10^3 in scientific notation.
Therefore, the grant can provide 7×10^3 senior lunches.
To find the width of the park, we need to divide the area by the length.
Area = 1.36×10^8 ft^2
Length = 1.6×10^4 ft
Width = Area / Length
Width = (1.36×10^8 ft^2) / (1.6×10^4 ft)
Width = 8.5×10^3 ft
Therefore, the width of the park is 8.5×10^3 ft.
To find the width of the park, we divide the area of the park by the length. In this case, the area of the park is 1.36×10^8 ft^2, and the length of the park is 1.6×10^4 ft.
So, to find the width, we can perform the division:
Width = Area / Length
Width = (1.36×10^8 ft^2) / (1.6×10^4 ft)
Now, to divide two numbers expressed in scientific notation, we can divide their coefficients (the numbers before the multiplication symbol) and subtract their exponents. In this case, the coefficient of the area is 1.36, and the coefficient of the length is 1.6. So:
Width = (1.36 / 1.6) × 10^(8 - 4) ft
Calculating the division:
Width = 0.85 × 10^4 ft
Finally, we can write the answer in scientific notation form, where 0.85 is the coefficient and 10^4 is the exponent. Therefore, the width of the park is 8.5×10^3 ft.